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      Tensionless supersymmetric M2 branes in \(AdS_4 \times S^7\) and Giant Diabolo

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          Abstract

          We find various supersymmetric configurations of toroidal M2 brane solutions in \(\AdS_4 \times S^7\) or, more generally, in \(\AdS_4 \times S^7/Z_k\). In this class we identify solutions preserving 1/4 and 1/8 supersymmetries of the background. The supersymmetric M2 branes have angular momenta and winding on \(S^7\), and null world-volumes. In certain cases they collapse to string-like configurations. These configurations can be viewed as a higher-dimensional (membrane) analog of BMN states. We compute the energy and angular momenta, showing that all supersymmetric configurations obey the BPS relation \(E=J/R \),\ \(J= \sum_{i=1}^4 |J_i|\) with \(E, J\to \infty \). Finally, we also study another class of supersymmetric M2-branes, including uncompact rotating membranes of "diabolo" shape.

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          Author and article information

          Journal
          23 September 2009
          2009-09-30
          Article
          10.1088/1126-6708/2009/11/118
          0909.4269
          991c9b0d-618e-4566-91e7-bd92fdc6fcc0

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          History
          Custom metadata
          ICCUB-09-231, La Plata Th/09-01
          JHEP 0911:118,2009
          27 pages, 3 figures. Small corrections
          hep-th

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